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sergeinik [125]
3 years ago
10

Please help!!! from plato

Mathematics
1 answer:
damaskus [11]3 years ago
7 0

The coordinates of vertex A', vertex B' and vertex C' are (-8, 4) , (-12, 12) and (-4, 12) respectively.

<u><em>Explanation</em></u>

According to the given diagram of triangle ABC, the co ordinates of the vertices are: A=(-2,1), B=(-3,3) and C= (-1,3)

If triangle ABC is dilated by a scale factor of 4 to form triangle A'B'C' , then we need to <u>multiply each co ordinate by the scale factor of 4</u>.

So, the co ordinate of A' will be: (-2*4, 1*4)=(-8,4)

the co ordinate of B' will be: (-3*4, 3*4)=(-12,12) and

the co ordinate of C' will be: (-1*4, 3*4)=(-4,12)

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Given that 3x+2y=5a+b and 4x-3y=a+7b, solve for y-x in terms of a and b.​
Eduardwww [97]

Answer:

y - x = - 2 b

Step-by-step explanation:

Given-

3 x + 2 y = 5 a + b...................(i)

4 x - 3 y = a + 7 b.....................(ii)

<em><u>Multiply by 3 and 2 in equation (i) & (ii) respectively-</u></em>

<em><u>Add equation (iii) &  (iv)-</u></em>

9 x + 6 y = 15 a + 3 a...................(iii)

<u>8 x - 6 y = 2 a + 14 b</u> ...................(iv)

17 x = 17 a + 17 b

<u>x = a + b</u>

Put x = a + b in equation (i)-

<em>2 y = 5 a + b - 3 a - 3 b</em>

<em>2 y = 2 a - 2 b</em>

<u>y = a - b </u>

<em>∴ y - x = a - b - ( a + b )</em>

<em>y - x = a - b - a - b</em>

y - x = - 2 b

3 0
2 years ago
Simplified form of 12x-1 = 2(6+5x) +7
horrorfan [7]
X=10



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3 years ago
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Solve -5 + w divided by 3 = -1.<br><br> 12<br> -12 <br> 2 <br> -2
son4ous [18]

Hello!

<u><em>Answer:</em></u>

<u><em>w=12</em></u>

<u><em>*The answer must have a positive sign.*</em></u>

Step-by-step explanation:

First, you add by 5 from both sides of an equation.

-5+\frac{w}{3}+5=-1+5

Then, you simplify.

\frac{w}{3}=4

Next, you multiply by 3 from both sides of an equation.

\frac{3w}{3}=4*3

And finally, simplify and solve. You can also multiply by the numbers from left too right.

4*3=12

Final answer: → w=12

Hope this helps!

Thanks!

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Have a great day!

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3 0
2 years ago
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FrozenT [24]

Answer:

A. 5

B. 12

Step-by-step explanation:

What you do is you substitute -2 into the a and the 3 into the b.

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3(4)-15+8                                   2-(-10)

12-15+8                                      12 is your answer.

-3+8

5 is your answer.

8 0
3 years ago
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